Einstein static universes are unstable in genericf(R)models

2009/01/31 by Sanjeev S. Seahra, Christian G. Boehmer, Christian G. Böhmer · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.79.064009

published as Phys.Rev.D79:064009,2009 · 7 pages, 2 figures. Minor corrections. Minor changes and references added to match version accepted by Phys. Rev. D

openalex publication_date 2009/03/13 · arxiv created 2009/03/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study Einstein static universes in the context of generic f(R) models. It is shown that Einstein static solutions exist for a wide variety of modified gravity models sourced by a barotropic perfect fluid with equation of state w=p/\ensuremathρ, but these solutions are always unstable to either homogeneous or inhomogeneous perturbations. Our general results are in agreement with specific models investigated in that past. We also discuss how our techniques can be applied to other scenarios in f(R) gravity.

Citations

• Eleven Spherically Symmetric Constant Density Solutions with Cosmological Constant
• Braneworld resonances

Cited by

• Stability of the Einstein static universe in IR modified Hořava gravity
• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• Einstein static Universe in non-minimal kinetic coupled gravity

Related

• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• Stability of the Einstein static universe in IR modified Hořava gravity
• Stability of Einstein and de Sitter Universes in the Quadratic Theory of Modified Gravity
• Static spherically symmetric solutions of the f(R) gravity
• Physical non-viability of a wide class of f(R) models and their constant-curvature solutions